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Finding the Fourth Proportional to 10,052.29, 15,073.55 and 3,031

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Solution

The fourth proportional to 10,052.29, 15,073.55 and 3,031 is: 4,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.29 : 15,073.55 = 3,031 : x
  2. Step 2: Convert to fraction form
    10,052.29/15,073.55 = 3,031/x
  3. Step 3: Cross multiply
    10,052.29x = 15,073.55 × 3,031
  4. Step 4: Simplify right side
    10,052.29x = 45,687,922.47
  5. Step 5: Solve for x
    x = 45,687,922.47/10,052.29
  6. Step 6: Final answer
    x = 4,545.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.